Results 11 to 20 of about 1,293,964 (279)
Lie Structures and Chain Ideal Lattices [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2023 AbstractThe purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the embedding or decomposition of Lie algebras with finite lattice of ideals. Secondly, to show that the number of Lie algebras of this class is large and they support other types of Lie structures ...
Benito, Pilar +2 more
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3-Lie algebras with an ideal \(N\)
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Rui-pu +2 more
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]
Engineering and Technology Journal, 2017 -Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
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On ideals and contraideals in Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2023 A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal.
L.A. Kurdachenko +2 more
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The Frattini p-subalgebra of a solvable Lie p-algebra [PDF]
, 1997 In this paper we continue our study of the Frattini p-subalgebra of a Lie p-algebra L. We show first that if L is solvable then its Frattini p-subalgebra is an ideal of L. We then consider Lie p-algebras L in which L^2 is nilpotent and find necessary and
Towers, David, Lincoln, Mark
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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The index complex of a maximal subalgebra of a Lie algebra. [PDF]
, 2011 Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A., David A. Towers
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Jurnal Matematika UNAND, 2019 Suatu himpunan tak kosong R yang memenuhi aksioma tertentu, ada yang dikatakan grup dan ada yang dikatakan ruang vektor. Suatu aljabar Lie L adalah ruang vektor atas lapangan F dengan perkalian [ , ] yang disebut Bracket Lie dan memenuhi beberapa aksioma
Sa'dha Dwi Meitia +2 more
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